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The angular momentum of plane-fronted gravitational waves in the teleparallel equivalent of general relativity

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Abstract

We present a simplified expression for the gravitational angular momentum in the framework of the teleparallel equivalent of general relativity (TEGR). The expression arises from the constraints equations of the Hamiltonian formulation of the TEGR. We apply this expression to the calculation of the angular momentum of plane-fronted gravitational waves in an arbitrary three-dimensional volume \(V\) of space and compare the results with those obtained for linearised gravitational waves.

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Authors and Affiliations

  1. Instituto de Física, Universidade de Brasília, Brasília, DF, 70910-900, Brazil

    J. F. da Rocha-Neto & J. W. Maluf

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  1. J. F. da Rocha-Neto
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  2. J. W. Maluf
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Correspondence to J. F. da Rocha-Neto.

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da Rocha-Neto, J.F., Maluf, J.W. The angular momentum of plane-fronted gravitational waves in the teleparallel equivalent of general relativity. Gen Relativ Gravit 46, 1667 (2014). https://doi.org/10.1007/s10714-014-1667-5

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  • DOI: https://doi.org/10.1007/s10714-014-1667-5

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